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Finding the Fourth Proportional to 1,818.72, 2,731.73 and 1,408.77

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Solution

The fourth proportional to 1,818.72, 2,731.73 and 1,408.77 is: 2,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.72 : 2,731.73 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    1,818.72/2,731.73 = 1,408.77/x
  3. Step 3: Cross multiply
    1,818.72x = 2,731.73 × 1,408.77
  4. Step 4: Simplify right side
    1,818.72x = 3,848,372.23
  5. Step 5: Solve for x
    x = 3,848,372.23/1,818.72
  6. Step 6: Final answer
    x = 2,115.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.